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Simplifying 12(x + -1) + -1(7x + 20) = 17 + 4(x + -2) + x Reorder the terms: 12(-1 + x) + -1(7x + 20) = 17 + 4(x + -2) + x (-1 * 12 + x * 12) + -1(7x + 20) = 17 + 4(x + -2) + x (-12 + 12x) + -1(7x + 20) = 17 + 4(x + -2) + x Reorder the terms: -12 + 12x + -1(20 + 7x) = 17 + 4(x + -2) + x -12 + 12x + (20 * -1 + 7x * -1) = 17 + 4(x + -2) + x -12 + 12x + (-20 + -7x) = 17 + 4(x + -2) + x Reorder the terms: -12 + -20 + 12x + -7x = 17 + 4(x + -2) + x Combine like terms: -12 + -20 = -32 -32 + 12x + -7x = 17 + 4(x + -2) + x Combine like terms: 12x + -7x = 5x -32 + 5x = 17 + 4(x + -2) + x Reorder the terms: -32 + 5x = 17 + 4(-2 + x) + x -32 + 5x = 17 + (-2 * 4 + x * 4) + x -32 + 5x = 17 + (-8 + 4x) + x Combine like terms: 17 + -8 = 9 -32 + 5x = 9 + 4x + x Combine like terms: 4x + x = 5x -32 + 5x = 9 + 5x Add '-5x' to each side of the equation. -32 + 5x + -5x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 -32 + 0 = 9 + 5x + -5x -32 = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 -32 = 9 + 0 -32 = 9 Solving -32 = 9 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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